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Finding the Fourth Proportional to 11,659.56, 16,090.20 and 6,354.37

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Solution

The fourth proportional to 11,659.56, 16,090.20 and 6,354.37 is: 8,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.56 : 16,090.20 = 6,354.37 : x
  2. Step 2: Convert to fraction form
    11,659.56/16,090.20 = 6,354.37/x
  3. Step 3: Cross multiply
    11,659.56x = 16,090.20 × 6,354.37
  4. Step 4: Simplify right side
    11,659.56x = 102,243,084.17
  5. Step 5: Solve for x
    x = 102,243,084.17/11,659.56
  6. Step 6: Final answer
    x = 8,769.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.